Sufficiency for nondifferentiable multiobjective programming problem

This paper introduces a class of new generalized functions of the concept of invex of σ(B, ϕ) − V − type I for nondifferentiable locally Lipschitz functions by using the tools of Clarke subdifferential. These functions are used to derive the sufficient optimality conditions for a class of nondiffere...

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Bibliographic Details
Published in:Journal of physics. Conference series Vol. 1053; no. 1; pp. 12029 - 12034
Main Authors: Gao, Xiaoyan, Li, Ruijuan
Format: Journal Article
Language:English
Published: Bristol IOP Publishing 01.07.2018
Subjects:
Mathematical programming
Nonlinear programming
Physics
ISSN:1742-6588, 1742-6596
Online Access:Get full text
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Summary:This paper introduces a class of new generalized functions of the concept of invex of σ(B, ϕ) − V − type I for nondifferentiable locally Lipschitz functions by using the tools of Clarke subdifferential. These functions are used to derive the sufficient optimality conditions for a class of nondifferentiable multiobjective nonlinear programming problems with inequality constraints where the objective and constraint functions are locally Lipschitz.
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ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1053/1/012029